Solve by completing the square x^2-6x-16=0

Mathematics

2 answers:

Greeley [361]3 years ago

7 0

Answer:

x = 8 or

x = -2

Step-by-step explanation:

<h2>Completing The Square:</h2>

x² - 6x - 16 = 0

Here,

a = 1

b = -6

c = -16

Now,

x² - 6x + [6/2(1)]² - [6/2(1)]² - 16 = 0

x² - 6x + (6/2)² - (6/2)² - 16 = 0

x² - 6x + (3)² - (3)² - 16 = 0

(x - 3)² - 9 - 16 = 0

(x - 3)² - 25 = 0

(x - 3)² = 25

x - 3 = +-√25

x - 3 = +- 5

x = 3 +- 5

x = 3 + 5 or x = 3 - 5

x = 8 or x = -2

Hope it's helpful

Elan Coil [88]3 years ago

3 0

Answer:

Step-by-step explanation:

You might be interested in

9.99x10 ^-2 + 1.11 × 10^-2 i dont have the same scientific calculator as the one from school. Would like to verify my math is co

Rufina [12.5K]

The answer should not depend on which machine or which pencil you use to
find it. If you work a problem two different ways and get two different answers,
then at least one of them is wrong, and there's a pretty good chance that both
of them are.

(9.99 of anything) + (1.11 of the same thing) = 11.1 of them

9.99 (x 10^-2) + 1.11 (x 10^-2) = 11.1 (x 10^-2) .

Can we do any more with that ?

10^-2 = 1 / 10^2 = 1 / 100 .

11.1 x 10^-2 = 11.1 / 100 = 0.111

3 0

3 years ago

An 18-foot ladder leaned up against a wall forms an angle of 70 degrees with the ground. How high up the wall will the ladder re

Paladinen [302]

the ladder is 13.8 ft up the wall

6 0

3 years ago

Hiiiijengniuenfhvnaefnhvadf

Aloiza [94]

Answer:

hiiiiieykfddhmlsaafjmxa

3 0